506621561463441 has 40 divisors (see below), whose sum is σ = 770229339184800. Its totient is φ = 331765584212160.

The previous prime is 506621561463427. The next prime is 506621561463463. The reversal of 506621561463441 is 144364165126605.

506621561463441 is a `hidden beast` number, since 5 + 0 + 6 + 6 + 2 + 1 + 56 + 146 + 3 + 441 = 666.

It is not a de Polignac number, because 506621561463441 - 2⁶ = 506621561463377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (506621561423441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34960875 + ... + 47281136.

It is an arithmetic number, because the mean of its divisors is an integer number (19255733479620).

Almost surely, 2^{506621561463441} is an apocalyptic number.

It is an amenable number.

506621561463441 is a deficient number, since it is larger than the sum of its proper divisors (263607777721359).

506621561463441 is a wasteful number, since it uses less digits than its factorization.

506621561463441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82243371 (or 82243362 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 506621561463441 in words is "five hundred six trillion, six hundred twenty-one billion, five hundred sixty-one million, four hundred sixty-three thousand, four hundred forty-one".